226531805000 has 180 divisors, whose sum is σ = 545260511565. Its totient is φ = 88203024000.

The previous prime is 226531804991. The next prime is 226531805051. The reversal of 226531805000 is 508135622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226531805000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 684450244 + 225847354756 = 26162^2 + 475234^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336550.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1783714937 + ... + 1783715063.

Almost surely, 2^226531805000 is an apocalyptic number.

226531805000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226531805000

226531805000 is an abundant number, since it is smaller than the sum of its proper divisors (318728706565).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226531805000 is an frugal number, since it uses more digits than its factorization.

226531805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Multiplying 226531805000 by its sum of digits (32), we get a square (7249017760000 = 2692400²).

The spelling of 226531805000 in words is "two hundred twenty-six billion, five hundred thirty-one million, eight hundred five thousand".